54145857678480 has 160 divisors (see below), whose sum is σ = 186602628750720. Its totient is φ = 14431135633920.

The previous prime is 54145857678457. The next prime is 54145857678511. The reversal of 54145857678480 is 8487675854145.

54145857678480 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 5 + 8 + 5 + 76 + 78 + 480 = 666.

It is a super-2 number, since 2×54145857678480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 54145857678399 and 54145857678408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2715202 + ... + 10754721.

It is an arithmetic number, because the mean of its divisors is an integer number (1166266429692).

Almost surely, 2^{54145857678480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54145857678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93301314375360).

54145857678480 is an abundant number, since it is smaller than the sum of its proper divisors (132456771072240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54145857678480 is a wasteful number, since it uses less digits than its factorization.

54145857678480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13471806 (or 13471794 counting only the distinct ones).

The product of its (nonzero) digits is 1204224000, while the sum is 72.

The spelling of 54145857678480 in words is "fifty-four trillion, one hundred forty-five billion, eight hundred fifty-seven million, six hundred seventy-eight thousand, four hundred eighty".